How far from the base of the house do you need to place an 18’ ladder so that it exactly reaches the top of a 14’ wall?

Answers

Answer 1

Answer:

Length of Ladder(Hypotenuse)=18

Height of wall(Opposite) =14

How far from the base... This talks about the adjacent or distance between the wall and the base.

You can get your answer from Pythagoras theorem

Which states

The square of the hypotenuse is = to the squares of the adjacent and Opposite sides

H² = O² + A²

We're looking for the adjacent "A"

Making A the subject

A² = H² - O²

A= √H² - O²

A= √18² - 14²

A=√128

A= 8√2'


Related Questions

Find the volume of the solid

Answers

Answer:

Volume of the given pyramid is 68 mm³.

Step-by-step explanation:

Figure given in the picture is a pyramid.

And volume of a pyramid is given by the formula,

Volume = [tex]\frac{1}{3}(\text{Area of the base)(\text{Height})}[/tex]

Area of the base = 68 mm²

Height of the pyramid = 3 mm

Therefore, volume of the pyramid = [tex]\frac{1}{3}(68)(3)[/tex]

                                                         = 68 mm³

Volume of the given pyramid is 68 mm³.

Given F(x) = 3x-2 and G(x) = 4-x2. Evaluate 2F(1) - 3G(3).

Answers

Answer:

[tex]9x^{2} -34[/tex]

Step-by-step explanation:

Use the given functions to set up and simplify [tex]2F(1)-3G.3.[/tex]

The point in the middle between 3G and 3 is a multiplication sign btw

A middle school coach wrote down the time, in seconds, of her students’ 100-meter dash as shown in the table. Student Time -(seconds … ) Gary 11.9 Rick 12.3 Phillip 13.5 Jorge 12.0 Robert 12.3 Jeremy 16.0 If the slowest time and the fastest time are removed from the data, how does the new mean compare to the mean of the ..

Answers

Answer:

D. The mean would decrease as there is less variability in the data.

Step-by-step explanation:

So, let’s find the mean with all of those numbers. First of all we should order them from least to greatest.

11.9, 12.0, 12.3, 12.3, 13.5, 16.0

We add them all up, and get 78! Once we get this total, we must divide it by how many numbers there are! There are six numbers, so 78/6.

78/6 is equal to 13. So the mean for all those numbers is 13.

Now let’s find the mean if we cross out the greatest and least numbers, the greatest number is 16.0, and the least number Is 11.9.

So, our new data set is:

12.0, 12.3, 12.3, 13.5

Add those all up to get 50.1

Divide the total by the numbers we got left, which is 4!

50.1/4 is equal to 12.525.

So the mean of our new data set is 12.525!

So that’s how I got the answer, have a nice day! Please tell me if I’m wrong!

12.525 < 13

Plz help this is due today NO LINKS OR GROSS PICTURES OR I Will REPORT And please show work

Answers

This is a scalene triangle. There are 3 sides, and each side length is different, according to the diagram. This means it's a scalene triangle. Hope this helped!

Which pair of expressions is equivalent using the Associative Property of Multiplication?
A. 4(2a ⋅ 5) = (4 ⋅ 2a) ⋅ 5
B. 4(2a ⋅ 5) = 8a ⋅ 20
C. 4(2a ⋅ 5) = (2a ⋅ 5) ⋅ 4
D. 4(2a ⋅ 5) = 4 ⋅ 2a ⋅ 5

Answers

Answer:

4(2a ⋅ 5) = (4 ⋅ 2a) ⋅ 5

Step-by-step explanation:

Let A, B and C be the required expression, according to Associative property;

(A+B)+C = A+(B+C)

This shows that no matter the sum of values in parenthesis, it does not alter the values at both sides.

From the given expression, the expression that is equivalent using the Associative Property of Multiplication is  4(2a ⋅ 5) = (4 ⋅ 2a) ⋅ 5

Note that the product of the values in bracket do not affect the final values

4(2a ⋅ 5) = 4(10a) = 40a

(4 ⋅ 2a) ⋅ 5 = 8a ⋅ 5 = 40a

You can see that both expressions gives the same values

Plz don’t delete my questions,plz help me!! Or eles I won’t get to play games!URGENT!!

Answers

The correct answer is B
B because all of the other ones are wrong


The relay race is 5 kilometers long. If there are 12 racers
per team, how far would each racer need to run?a.5/12 b.12/5 c.1 2/5 d.5 1/12

Answers

Answer:

A

Step-by-step explanation:

Can somebody please help me out please my grads are bad

Answers

Triangle A-Right
Triangle B-Right
Triangle C-Obtuse
Triangle D-Acute

You and a friend decided to open a photo print shop. The cost for printing a photo is $0.10 and sells for $0.25. The initial setup fee for equipment is $2,599. Determine how many photos you and your friend must sell to break even. Round your answer the ones place.

Answers

Answer:

2599 / 0.15 = 17327 (rounded)

Step-by-step explanation:

Can I have brainliest? Hope this helped and have a nice day!

Use the distributive property to find the equivalent expression. 9(2 + 3x) =

Answers

Answer:

9(2+3x)

9*2+9*3x

18+27x

Step-by-step explanation:

Francesco built a box to store his baseball cards. The box is shown below.

Francesco needed more storage and built a similar box that was one-half of each the length, the width,
and the height of the first box. By what factor does the change in dimension between the two boxes
affect the volume?

ILL GIVE BRAINLIEST

Answers

Answer:

Option B

Step-by-step explanation:

Scale factor by which the dimensions of the new box was dilated = [tex]\frac{1}{2}[/tex]

In other words, dimension scale factor = [tex]\frac{1}{2}[/tex]

Relation between volume scale factor and dimension scale factor is,

Volume scale factor = (Dimension scale factor)³

Therefore, volume scale factor of the smaller box = [tex](\frac{1}{2})^3[/tex]

                                                                                   = [tex]\frac{1}{8}[/tex]

Since, volume scale factor = [tex]\frac{\text{Volume of the dilated figure}}{\text{Volume of the original figure}}[/tex] = [tex]\frac{1}{8}[/tex]

Therefore, volume of the smaller box = Volume of the larger box

Option B will be the answer.

                                           

I WILL GIVE BRAINLIEST IF YOU HELP
A museum has an aquarium in the shape of a right rectangular prism that is 22.9 meters long, 7.5 meters wide, and 5.6 meters high. What is the volume, round to the nearest cubic meter, of the aquarium?
A. 280
B. 623
C. 1288
D. 962

Answers

Answer:

D. 962

Step-by-step explanation:

The volume of a rectangular prism is the length x width x height.

22.9*7.5*5.6=961.8

961.8 rounds up to 962

200 points


What is the value of B and P for the following triangular prism?




30 ft 2

48 ft 2

72 ft 2

24 ft 2

Answers

Answer:

48 ft 2

Step-by-step explanation:

A certain television is advertised as a 36-inch TV (the diagonal length). If the width of the TV is 26 inches, how tall is the TV? Round to the nearest tenth of an inch.

Answers

Answer:

the correct answer is 24.9

Step-by-step explanation:

Answer: 24.9

Step-by-step explanation:

Please tell me the answer I need it now... please

Answers

Answer:

Your answer is C!

The answer is C. 500

Find 12÷3/5 type your response

Answers

Answer:

20

Step-by-step explanation:

60 / 3 = 20. the answer is 20

What are the other side lengths of the triangle?

Answers

9514 1404 393

Answer:

  24, 26

Step-by-step explanation:

The shortest side of the given triangle is 10 units, so the similar triangle is larger by a factor of 20/10 = 2. The other two sides of the similar triangle are both 2 times the other two sides of the given triangle:

  2×12 = 24

  2×13 = 26

The other side lengths are 24 and 26 units.

The water level of a reservoir is 340 feet and that it is receding at a rate of 0.5 foot per day. In how many days will the water level be 26 feet?

THE RESERVOIR IS 340 FEET PEOPLE NOT 34. thanks.

Answers

Answer:

327 feet

Step-by-step explanation:

Could i get some help with this problem. 7(x-3)=49

Answers

7x-21=49, 49-21= 28/7= x= 4

Answer:

x = 10

Step-by-step explanation:

- The first thing to do is open parentheses:

7 (x - 3) = 49

7x - 21 = 49

- Then add 21 to each side:

7x - 21 = 49

7x = 70

- Now divide each side by 7:

7x = 70

x = 10

Each nickel is $0.05. Write and solve an equation to determine the total number of nickels needed to make $2.25

Answers

Answer:

you need 45 nickels

Step-by-step explanation:

i solved using brainly but i need to show my work what are the steps in solving please

Answers

Answer:

Step-by-step explanation:

to find the inverse first switch the x and y

y=log(x+3) inverse is x=log(y+3)

then change to exponential form to solve

[tex]log_{a} b=c[/tex] turns to[tex]a^{c}=b[/tex]

a is 10

b is y+3

c is x

[tex]10^{x} =y+3[/tex]  subtract 3 from both sides

[tex]10^{x} -3=y[/tex]

A nutritionist suspected that her company's clients had below average cholesterol. They obtained a random sample of 8 clients of the same age and gender. These clients had a mean cholesterol level of xˉ=4.28 mmol/L (millimoles per liter).
To see how likely a sample like this was to happen by random chance alone, the nutritionist performed a simulation. They simulated 60 samples of n=8 cholesterol levels from a normal population with a mean of 4.6 mmol/L and a standard deviation of 0.5 mmol/L (these are generally accepted values for people with the same age and gender of those in the sample). They recorded the mean of the cholesterol levels in each sample. Here are the sample means from their 60 samples:

They want to test H0:μ=4.6 mmol/L vs. Ha:μ<4.6 mmol/L where μ is the mean cholesterol level for all clients like those sampled.

Based on these simulated results, what is the approximate p-value of the test?
Note: The sample result was xˉ=4.28 mmol/L.

Answers

Answer:

p-value ≈ 0.05

Step-by-step explanation:

please help me!!!!!!! find the surface area of this figure ?
show your work.

Answers

Answer:

[tex] 93 \: {in}^{2} [/tex]

Step-by-step explanation:

Surface area of the figure

[tex] = \frac{1}{2} \times 6 \times 7 + 3 \times \frac{1}{2} \times 6 \times 8 \\ \\ = 3 \times 7 + 3 \times 3 \times 8 \\ \\ = 21 + 72 \\ \\ = 93 \: {in}^{2} [/tex]

What is the first step in evaluating the expression shown below? (12 ÷ ( 7 . 4 − 3 . 6 ) + 8 − 2) A. Subtract 7 . 4 − 3 . 6 . B. Divide 12 ÷ 7 . 4 . C. Add 3 . 6 + 8 . D. Subtract 8 − 2 .

Answers

Answer:

A

Step-by-step explanation:

(12 ÷ ( 7 . 4 − 3 . 6 ) + 8 − 2)

Follow the order of operations, the first thing to do would be the parenthesis.

7.4 - 3.6 = 3.8

So, your answer would be A, Subtract 7 . 4 − 3 . 6.

Have a wonderful day!

Answer:

A hope you get it right

(☞゚ヮ゚)☞     ¯\_(ツ)_/¯

∠DGC and ∠CGB are □ angles.

Adjacent
Complementary
Supplementary
Vertical

Answers

Answer:

angle DGC and angle CGB are adjacent angles

9/2.5-5.2=10.8 What is G

Answers

Answer:

G = - 6 . 75

Step-by-step explanation:

      10 . 8 / - 1. 6

          - 6 . 75

Please, Please help! :(

Answers

Answer:

first blank is 3

second blank is 126

Step-by-step explanation:

the ratio is 2:3 so you must keep that the same in the table

The one for chocolates is 3 and the one for peppermints is 126


Select the correct solution in each column of the table

Answers

Answer:

2,1,3

Step-by-step explanation:

what type of triangle is shown below check all that apply

Answers

Answer:

The first image is an Isosceles Triangle and Acute

Step-by-step explanation:

obtuse triangle.

obtuse triangle

Before shipment, an inspector found that 7 of the boxes were defective and could not be shipped. At least 200 boxes were approved for shipment. Write and solve an inequality to find the amount of time Machine A spent packing the boxes that were approved for shipment.

Answers

answer:

step-by-step explanation:
7/200 of them were defective
7/200 = 0.035
193/200 of them were approved
193/200 = 0.965
y being the number of boxes approved
x being to amount of time
y = 0.965x - 0.035
Other Questions
what is electromagnetic? can anybody help me please Can you please help me? Tom started an entertainment company. The net value of the company (in thousands of dollars) ttt months after its creation is modeled by v(t)=4t^2-24t-28v(t)=4t 2 24t28v, left parenthesis, t, right parenthesis, equals, 4, t, squared, minus, 24, t, minus, 28 Tom wants to know when his company will be at its lowest net value. 1) Rewrite the function in a different form (factored or vertex) where the answer appears as a number in the equation. A psychologist is interested in whether working memory is influenced by sleep loss. The psychologist administers a pre-test measure of working memory to a group of subjects at 8 A.M. on Day One of the study and then administers a post-test measure of working memory at 8 A.M. on Day Two of the study, after keeping the subjects awake the entire night. The psychologist wants to know whether sleep loss affects working memory. What is the statistical analysis we would perform to answer this question please help me out when u can ty Darrell is a clothier whose company, 24-7 Activewear, has separate product lines for men, women, and children. He has grouped his organization into different departments such as production, marketing, and finance. Most of the employees report to two managers a departmental head and a divisional head. Darrell encourages lower-level managers to make important decisions in order to promote quick and effective decision making.It can be inferred that Darrell's firm utilizes the ________ approach to departmentalization.a. geographicalb. productc. verticald. matrixe. conglomerate Item 3What describes the largest migration in the world today?People are leaving the cities and heading to the country.Latin Americans are moving to North America.Africans are going to Europe.People are heading to the cities from the countryside. HELP PLEASE!! BRAINLIST IF CORRECTadriana thinks the measure of angle CBE is 70 degrees.Lila thinks the measure is 68 degrees.Who is correct?AdrianaLilaExplain your thinkingBRAINLIST if correct Can someone help me ASAP!! Please answer!!!!!!!!!!!!! by Susan Hartley SwettWhen the scarlet cardinal tellsHer dream to the dragonfly,And the lazy breeze makes a nest in the trees,And murmurs a lullaby,It's July.When the tangled cobweb pullsThe cornflower's cap awry,And the lilies tall lean over the wallTo bow to the butterfly,It's July.When the heat like a mist veil floats,And poppies flame in the rye,And the silver note in the streamlet's throatHas softened almost to a sigh,It's July.When the hours are so still that timeForgets them, and lets them lieUnderneath petals pink till the night stars winkAt the sunset in the sky,It's July.Which statement best expresses the theme of "July"?Summer is a calm and peaceful time of year.Nature is cruel and cares not for human concerns.The slow pace of life in summer can be frustrating.People cannot comprehend the complexity of nature.Item 14Which sentence uses tumultuous correctly?After a tumultuous morning running errands, babysitting, and finishing her term paper, Olivia was looking forward to an afternoon at the spa.When I travel to the Rocky Mountains, all I want to do is sit and peacefully gaze at the tumultuous skyline.The tumultuous road zigged and zagged so much, Tom truly lost all sense of direction.Dad just endured a tumultuous root canal and returned home to hear you wrecked the car. Check all the examples that would be considered an APPROPRIATE use of biotechnology.A. Selective breeding to improve milk production in cows.B. Genetic engineering of a virus to create a biological weapon.C.Use of genetic modification to produce laboratory mice with D.Alzheimer's disease.E.Use of genetic modification to produce a superior race of humansF.Use of DNA evidence to free someone wrongfully convicted of murder. Josh has a masters degree in business administration and supply chain management. What company might be in interested in hiring Josh?Select one:a. a large transportation company looking for an operations managerb.an online retail company in need of a social media coordinatorc.a school system looking for a human resources managerd.a dentists office in need of a receptionist Find the value of x.l Brad spends two to four hours a day grooming himself. This regimen includes an extensive time period during which Brad lovingly admires his appearance in the mirror. Which of these tables represents a function? Table A Table B Table C Table D The first section has 90 sheep sorted into 3 rows how many sheep are in each row of the first section Which expression equals 9 3sqrt10 Calculate the total surface area of this net of a right triangular prism. A 225 cmB 207.5 cmC 165 cmD 147.5 cm